Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
326 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19132766 | C2 | semidirect |
| 7. C43×#533 | C4 | semidirect |
| 9. C43×#491 | C4 | semidirect |
| 13. C2×#97×C43 | C4 | semidirect |
| 101. #533 | Dic43 | semidirect |
| 103. #491 | Dic43 | semidirect |
| 108. C2×#97 | Dic43 | semidirect |
| 111. C43 | #13594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136260 | 2 |
| #19132766 | 2 |
| C43×#3135 | 2 |
| #13594 | 43 |